Quantitative Aptitude - Arithmetic Ability Questions

What is the slope of the line parallel to the line passing through the points (4,-2) and (-3,5)?

On Selling a toy at 20/31 of the marked price there is a loss of 20%. What will be the ratio of marked price and cost price of the toy?

What is the simplified value of cosec6A – cot6A – 3 cosec2A cot2A?

If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ is

Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ∠PQR = 40°, then what is the value (in degrees) of ∠QPR?

A can do a work in 20 days and B in 10 days. If they work on it together for 5 days, then what fraction of work is left.

In the given figure, ABC is a right angled triangle. ABC = 90 deg and ACB = 60 deg. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?

If {12(a-b)}2+ab=p(a+b)2, then the value of p is